List questions from ergodic-theory

Published on 13 Jan 2020 - 19:04

125

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Linear Equations in Primes, Green Tao

Published on 15 Jan 2020 - 9:55

55

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Two Linear Equations in Four Prime unknowns

Published on 15 Jan 2020 - 22:36

217

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On measure-preserving map

Published on 17 Jan 2020 - 2:54

230

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Why the circle rotation is not measurably isomorphic to the circle-doubling map?

Published on 17 Jan 2020 - 17:52

159

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Small gaps between primes and arithmetic progressions

Published on 25 Mar 2026 - 18:45

112

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GTM 259 Exercise 2.2.2. $ \mathbf d(A)=\lim_{k\to\infty}\frac{1}{k}|A\cap [1,k]| $ exists and is positive

Published on 19 Jan 2020 - 1:33

222

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Proof verification of von Neumann's ergodic theorem by spectral theorem

Published on 19 Jan 2020 - 16:41

407

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A strange bijection without fixed points

Published on 20 Jan 2020 - 18:44

56

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A measure-preserving system is ergodic iff $A_N(f)=\to\int fd\mu$ as $N\to\infty$ for all $f$ in a dense subset of $L_\mu^1$.

Published on 25 Jan 2020 - 20:25

99

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Why the bilateral shift map is not an expanding map?

Published on 29 Jan 2020 - 23:28

103

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Definition of integrable return time

Published on 31 Jan 2020 - 21:08

292

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Is there a volume-preserving diffeomorphism of the disk with prescribed singular values?

Published on 27 Mar 2026 - 2:35

123

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Mean ergodic process with non-vanishing covariance

Published on 26 Mar 2026 - 6:09

61

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characterization of lightly mixing

Published on 27 Mar 2026 - 6:48

List Question

Is the set of rational numbers between $0$ and $1$ invariant under some ergodic transformation

Linear Equations in Primes, Green Tao

Two Linear Equations in Four Prime unknowns

On measure-preserving map

Why the circle rotation is not measurably isomorphic to the circle-doubling map?

Small gaps between primes and arithmetic progressions

GTM 259 Exercise 2.2.2. $ \mathbf d(A)=\lim_{k\to\infty}\frac{1}{k}|A\cap [1,k]| $ exists and is positive

Proof verification of von Neumann's ergodic theorem by spectral theorem

A strange bijection without fixed points

A measure-preserving system is ergodic iff $A_N(f)=\to\int fd\mu$ as $N\to\infty$ for all $f$ in a dense subset of $L_\mu^1$.

Why the bilateral shift map is not an expanding map?

Definition of integrable return time

Is there a volume-preserving diffeomorphism of the disk with prescribed singular values?

Mean ergodic process with non-vanishing covariance

characterization of lightly mixing

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